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The equation of a curve C is given by y3 + y = x* + a° + 8. (a) Using implicit differentiation, find the slope of the curve at the point P(1,2). (b) Determine y" at P.

The equation of a curve C is given by y3 + y = x* + a° + 8. (a) Using implicit differentiation, find the slope of the curve at the point P(1,2). (b) Determine y" at P.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. The equation of a curve C is given by y3 +y = x* + a° + 8. (a) Using implicit differentiation, find the slope of the curve at the point P(1,2). (b) Determine y" at P. (c) Sketch the curve C in the neigh- P. bourhood of P. (Hint: Use the values of y and y" obtained in parts (a) and (b) above.)
Transcribed Image Text:2. The equation of a curve C is given by y3 +y = x* + a° + 8. (a) Using implicit differentiation, find the slope of the curve at the point P(1,2). (b) Determine y" at P. (c) Sketch the curve C in the neigh- P. bourhood of P. (Hint: Use the values of y and y" obtained in parts (a) and (b) above.)
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